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A106153 Decimal expansion of arcsin(sqrt(1 - (e/Pi)^2)) (in degrees), lesser angle in right triangle with hypotenuse Pi and longer leg e. 1
3, 0, 0, 8, 8, 0, 5, 2, 3, 8, 0, 8, 4, 5, 1, 7, 0, 2, 5, 8, 1, 0, 3, 4, 8, 0, 6, 5, 2, 6, 8, 3, 2, 9, 9, 6, 4, 8, 1, 3, 2, 0, 7, 7, 3, 0, 2, 0, 7, 5, 0, 6, 7, 7, 6, 1, 6, 2, 4, 0, 9, 1, 1, 3, 2, 4, 9, 2, 0, 5, 9, 7, 9, 4, 4, 0, 1, 6, 6, 5, 7, 2, 8, 2, 0, 0, 2, 9, 7, 6, 9, 2, 9, 3, 7, 1, 8, 1, 8, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Triangle with hypotenuse Pi, longer leg e and shorter leg close to Pi/2 (and angle close to 30 degrees). Cf. A096437: Decimal expansion of sqrt(Pi^2 - e^2).
LINKS
FORMULA
arcsin[sqrt(1-(e/Pi)^2) = 30.088052380845 degrees.
MATHEMATICA
RealDigits[N[ArcSin[Sqrt[Pi^2-E^2]/Pi]/Degree, 100]][[1]]
PROG
(PARI) asin(sqrt(Pi^2 - exp(2))/Pi)*(180/Pi) \\ G. C. Greubel, May 24 2017
CROSSREFS
Cf. A096437.
Sequence in context: A326397 A140577 A068606 * A166244 A022001 A265832
KEYWORD
cons,nonn
AUTHOR
Zak Seidov, May 07 2005
STATUS
approved

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Last modified March 29 10:22 EDT 2024. Contains 371268 sequences. (Running on oeis4.)